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Finding the Third Proportional to 414,567 and 899,118

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Solution

The third proportional to 414,567 and 899,118 is: 1,950,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,567 : 899,118 = 899,118 : x
  2. Step 2: Convert to fraction form
    414,567/899,118 = 899,118/x
  3. Step 3: Cross multiply
    414,567x = 899,118 × 899,118
  4. Step 4: Simplify right side
    414,567x = 808,413,177,924
  5. Step 5: Solve for x
    x = 808,413,177,924/414,567
  6. Step 6: Final answer
    x = 1,950,018.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.